What is one trillion to the 10th power?
Understand the Problem
The question is asking for the value of one trillion raised to the 10th power, which involves exponential calculation.
Answer
The result is $10^{120}$.
Answer for screen readers
The value of one trillion raised to the 10th power is $10^{120}$.
Steps to Solve
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Identify the base and exponent The problem involves calculating $1 \text{ trillion}^{10}$. In numerical terms, $1 \text{ trillion} = 10^{12}$.
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Rewrite the expression We can rewrite the expression for clearer calculation: $$ (10^{12})^{10} $$
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Use the power of a power property When raising a power to another power, we multiply the exponents: $$ (10^{12})^{10} = 10^{12 \times 10} = 10^{120} $$
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Final calculation Now, we have $10^{120}$. To express this in standard form, we can say: $$ 10^{120} = 1 \text{ followed by } 120 \text{ zeros} $$
The value of one trillion raised to the 10th power is $10^{120}$.
More Information
This is an extremely large number. In scientific notation, it is often referred to as "one hundred twenty zeros," which illustrates just how vast this amount is. In practical terms, such large numbers are usually seen in fields such as astronomy or theoretical physics.
Tips
- A common mistake is not converting "trillion" to its numerical form correctly. Remember that $1 \text{ trillion} = 10^{12}$.
- Another mistake is misapplying the power of a power property; ensure you multiply the exponents correctly.
